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  • 1. Geom7­4.notebook January 11, 2012 Dreams dont work unless you do. BELL WORK: a) In what polygon is the sum of the measure of the exterior  angles equal to the sum of the measures of the interior angles? b) In what polygon it the sum of the measures of the interior  angles twice the sum of the exterior angles? ` Questions on 7.3 homework (p.309)? 1
  • 2. Geom7­4.notebook January 11, 2012 7.4 Regular Polygons What is a regular polygon? Lets think about an EQUIANGULAR pentagon. 5 What would be the measure of 1 exterior angle? Theorem: The measure E of each exterior angle of an  equiangular polygon with n sides is 360 . n Ex: How many degrees are there in each exterior angle of an  equiangular pentadecagon? Ex: If each exterior angle of an equiangular polygon is 18o, how  many sides does the polygon have? Ex: If each angle of a polygon is 108o, how many sides does  the polygon have? Ex: Find the measure of each angle of a regular octagon. 2
  • 3. Geom7­4.notebook January 11, 2012 EXIT SLIP:  a) Find the measure of an exterior angle of an equiangular octagon. b) Find the measure of an angle of an equiangular nonagon. Homework: p.316 #3(a,b,e),4(a,b,e),7,10 DUE Friday TEST FRIDAY 3